Standard Formula Directory
Standard Formula Directory
All 534 published Standard Definitions are collected here. Every listed formula has a complete runnable implementation.
Browse by category
534 published Definitions
Algebraic power190
- 3damand01
- 3damand02
- 3rdim01
- a---mand
- a--mand
- aaa-dealsfix1
- aaa-dealsfix2
- cactus
- cardioid
- chebyshev2
- chebyshev3
- chebyshev4
- chebyshev5
- cubic
- cubicMandelbrot
- daisy
- deltalog
- dissected-a
- dots
- dragon
- drchaosbrot
- element
- flip0_man_m
- fliplambdaj
- frame-rbtm
- frm-a
- frm-c1
- frm-c2
- frothyBasin
- frrbtgenm
- fzppsqlo
- fzppsqsh
- fzppsqsi
- glynn
- gopalsamy1
- gopalsamy2
- gopalsamy3
- gopalsamy4
- gopalsamy5
- ikefrrbtgenj
- ikefrrbtgenm
- ikegenj
- ikegenm
- ikenaga
- ikenaga2
- ikenaga4
- ikenaga4jul
- ikenagaabs
- ikenagaabsjul
- ikenagafn
- ikenagafnjul
- ikenagaj.1
- ikenagajul
- ikenagajul1+
- ikenagajulj.1
- ikenagamap
- ikenagapwr
- ikenagapwrjul
- invmandel
- j_lagandre2
- j_lagandre3
- j_lagandre4
- j_lagandre5
- j_lagandre6
- j_lagandre7
- j_laguerre2
- j_laguerre3
- j_laguerre4
- j_laguerre6
- j_tchebychevc2
- j_tchebychevc3
- j_tchebychevc4
- j_tchebychevc5
- j_tchebychevc6
- j_tchebychevc7
- j_tchebychevs2
- j_tchebychevs3
- j_tchebychevs4
- j_tchebychevs5
- j_tchebychevs6
- j_tchebychevs7
- j_tchebychevt2
- j_tchebychevt3
- j_tchebychevt4
- j_tchebychevt5
- j_tchebychevt6
- j_tchebychevt7
- j_tchebychevu2
- j_tchebychevu3
- j_tchebychevu4
- j_tchebychevu5
- j_tchebychevu6
- j_tchebychevu7
- jm_ducks
- juliaconj
- juliconj01
- juliconj02
- juliconj03
- juliconj04
- juliconj05
- juliconj06
- juliconj07
- juliconj08
- juliconj09
- juliconj10
- juliconj11
- julike
- julitile1
- lambdaGuide
- lambdapwr
- logistic
- m_lagandre2
- m_lagandre4
- m_lagandre5
- m_lagandre6
- m_lagandre7
- m_laguerre2
- m_laguerre3
- m_laguerre4
- m_laguerre5
- m_laguerre6
- m_tchebychevc2
- m_tchebychevc3
- m_tchebychevc4
- m_tchebychevc5
- m_tchebychevc6
- m_tchebychevc7
- m_tchebychevs2
- m_tchebychevs3
- m_tchebychevs4
- m_tchebychevs5
- m_tchebychevs6
- m_tchebychevs7
- m_tchebychevt2
- m_tchebychevt3
- m_tchebychevt4
- m_tchebychevt5
- m_tchebychevt6
- m_tchebychevt7
- m_tchebychevu2
- m_tchebychevu3
- m_tchebychevu4
- m_tchebychevu5
- m_tchebychevu6
- m_tchebychevu7
- mandconj01
- mandconj02
- mandconj03
- mandconj04
- mandconj05
- mandconj06
- mandconj07
- mandconj08
- mandconj09
- mandconj10
- mandconj11
- mandelbrotGuide
- mandelbrot
- mandelconj
- mandellambdapwr
- michaelbrot
- multicorn4
- multicorn5
- multicorn6
- multicorn7
- myfractal
- natura
- pseudolambda
- pseudomandellambda
- quarticMandelbrotGuide
- rabbitJulia
- raphaelbrot
- rcl_logistic_1
- rcl_pick10
- rcl_pick13
- shifter
- shifter01
- silverado
- silverado2
- simonBrot
- sjmand01
- speed-b
- sym-a
- sym-b
- test
- test1
- test2
- test3
- tjercubic
- tricorn
Transcendental104
- aa-c-to-z
- aa-z-to-c
- aa-z-to-z
- acoshJulia
- acoshMandelbrot
- asinhJulia
- asinhMandelbrot
- atanhJulia
- atanhMandelbrot
- collatz
- coshJulia
- coshMandelbGuide
- coshSinh
- cosJulia
- cosMandelb
- cothJulia
- cothMandelbrot
- ent
- expMandelbrot
- fractalfenderca
- frm-d2
- fzpcocoh
- fzpcopch
- fzpcopcs
- fzpcophs
- fzpcopse
- fzpcopsh
- fzpcopta
- fzpcopth
- fzpcoseh
- fzppchco
- fzppchex
- fzppchlo
- fzppcoch
- fzppcocs
- fzppcoct
- fzppcoex
- fzppcohs
- fzppcoht
- fzppcolo
- fzppcopc
- fzppcope
- fzppcopo
- fzppcopr
- fzppcops
- fzppcore
- fzppcos
- fzppcose
- fzppcosh
- fzppcosi
- fzppcosq
- fzppexch
- fzppexco
- fzppexp
- fzppexsh
- fzppexsi
- fzppexsq
- fzppshch
- fzppshco
- fzppshex
- fzppshsi
- fzppshsq
- fzppsich
- fzppsico
- fzppsiex
- fzppsinh
- fzppsish
- fzppsisq
- gopalsamyexp
- gopalsamysin
- gopalsamysin2
- gopalsamysinh
- gopalsamysinh2
- logJulia
- mutantbrot
- rcl_14
- rcl_4_j
- rcl_4_m
- rcl_5_j
- rcl_5_m
- rcl_6_j
- rcl_6_m
- rcl_cosh_j
- richard7
- richard8
- scottlpc
- scottlps
- scottltc
- scottlts
- scskcosh
- scsklms
- scskzczz
- sineJulia
- sineMandelb
- sinhJulia
- sinhMandelb
- speed-a
- tanJulia
- tetration
- tjerdeltalog
- tjerdragon
- tjerent
- tjerinvmandel
- zaslavskyMapGuide
Function composition94
- 3rdim05
- bailout-a
- bailout-b
- bailout-c
- bali
- birdofprey
- dafrm09
- deepspaceprobe
- deepspaceprobec
- dissected-b
- ent2
- evileyec
- fatso
- flyc
- fndog
- fractalfender
- frm-b
- frog
- frogc
- fzpfncoh
- fzpfnseh
- fzppfncs
- fzppfnct
- fzppfnht
- fzppfnpo
- fzppfnre
- fzppfnse
- fzppfnsr
- fzppfnta
- fzppfnth
- geninvmand1_n
- gopalsamyfn
- groucho
- ifelsefn1fn2fn3
- ifthen-a1
- ifthen-a2
- ifthen-a3
- ifthen-b1
- ifthen-b2
- ifthen-c1
- ifthen-c2
- ifthenelsefn1fn2
- ifthenfn1fn2
- jm_03
- jm_03a
- jm_04
- jm_05
- jm_06
- jm_09
- jm_10
- jm_11
- jm_11a
- jm_12
- jm_13
- jm_14
- jm_15
- jm_16
- jm_17
- jm_18
- jm_19
- jm_20
- jm_22
- jm_23
- jm_24
- jm_25
- jm_26
- jmask
- larry
- mask
- moe
- ok-04
- ok-32
- ok-36
- ok-38
- ok-42
- rcl_cross1
- rcl_cross2
- reb004a
- sinegg
- sineggc
- sjmand03
- sjmand05
- sjmand10
- sjmand11
- testsinmandc
- tjerfzppfnpo
- tjerfzppfnre
- tjermtet
- tobeymyfractal
- tobeypsudomandel
- tobeyrichard1
- turtlec
- uli_6
- waldotwinsc
Rational reciprocal61
- circleInversionGuide
- flip3_man_j
- flip3_man_m
- flyingsquirrel
- flyingsquirrelc
- invertedLambdaGuide
- islandofchaos
- islandofchaosc
- ismand_demo
- jm_27
- leemandel1
- leemandel2
- magnet1Guide
- magnet2Guide
- mcMullen23Guide
- mcMullen32
- mcMullen34
- ok-08
- ok-35
- pseudozeepi
- rationalMap1Guide
- rationalMap2
- rcl_10
- rcl_11
- rcl_12
- rcl_13
- rcl_16
- rcl_9
- rcl_pick3
- rcl_pick4
- reb004k
- reb004k[float=y]
- reb004l
- reb004l[float=y]
- reb004m
- reb004m[float=y]
- reb005a
- reb005a[float=y]
- reb005e
- reb005e[float=y]
- reb005f
- reb005f[float=y]
- reb005g
- reb005g[float=y]
- rebrefind2
- rebrefind2[float=y]
- recipike
- reciprocalCubic
- reciprocalQuadratic
- richard9
- rings
- scottsic
- spiderGuide
- sterling2
- tobeyleemandel2
- tobeyrichard2
- tobeyrichard3
- tobeysterling2
- uli_4
- uli_5
- zeepi
Orbit memory45
- alt
- fibo-a
- fibo-b
- five-mandels
- flip1_man_j
- flip1_man_m
- flip2_man_j
- flip2_man_m
- ghost
- ghostless-a
- ghostless-b
- ghostless-c
- inandout01
- inandout02
- inandout03
- inandout04
- j1
- jc
- jfnc
- jfnz
- joc
- joz
- jz
- leemandel3
- m1
- manowar
- mc
- mfnc
- mfnz
- moc
- moz
- mz
- ok-22
- ok-43
- oldmanowar
- phoenix
- phoenix_j
- phoenix_m
- phoenixMultiGuide
- quadrants
- rcl_7
- testm
- tobeyleemandel3
- tobeywineglass
- wineglass
Folded absolute26
- airshipGuide
- airshipCubic
- buffaloGuide
- burningShipGuide
- burningShipCubic
- burningShipImag
- burningShipQuartic
- celticBurningShip
- celticMandelbar
- cubicPerpendicularMandelbrot
- f'liar1d
- heart
- liar1
- liar2
- liar3
- liar4
- liar4[float=y]
- mandelboxGuide
- ok-34
- perpendicularBurningShip
- perpendicularCelticGuide
- perpendicularMandelbrot
- perpendicularTricorn
- quarticPerpendicularMandelbrot
- zeppo
- zubietaGuide